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Finding the Fourth Proportional to 253,559.12, 349,935.06 and 140,381.87

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Solution

The fourth proportional to 253,559.12, 349,935.06 and 140,381.87 is: 193,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,559.12 : 349,935.06 = 140,381.87 : x
  2. Step 2: Convert to fraction form
    253,559.12/349,935.06 = 140,381.87/x
  3. Step 3: Cross multiply
    253,559.12x = 349,935.06 × 140,381.87
  4. Step 4: Simplify right side
    253,559.12x = 49,124,538,101.36
  5. Step 5: Solve for x
    x = 49,124,538,101.36/253,559.12
  6. Step 6: Final answer
    x = 193,739.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.